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Finding the Fourth Proportional to 277,616.18, 416,359.57 and 77,955.84

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Solution

The fourth proportional to 277,616.18, 416,359.57 and 77,955.84 is: 116,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,616.18 : 416,359.57 = 77,955.84 : x
  2. Step 2: Convert to fraction form
    277,616.18/416,359.57 = 77,955.84/x
  3. Step 3: Cross multiply
    277,616.18x = 416,359.57 × 77,955.84
  4. Step 4: Simplify right side
    277,616.18x = 32,457,660,021.39
  5. Step 5: Solve for x
    x = 32,457,660,021.39/277,616.18
  6. Step 6: Final answer
    x = 116,915.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.